Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331044" target="_blank" >RIV/00216208:11320/16:10331044 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s11200-015-0479-8" target="_blank" >http://dx.doi.org/10.1007/s11200-015-0479-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11200-015-0479-8" target="_blank" >10.1007/s11200-015-0479-8</a>

Result language

angličtina

Original language name

Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

Original language description

We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. These derivatives are very important in studying wave propagation and have already found various applications in smooth media without interfaces. In order to extend the applications to media composed of layers and blocks, we derive the explicit equations for transforming these travel-time derivatives of arbitrary orders at a general smooth curved interface between two arbitrary media. The equations are applicable to both real-valued and complex-valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel-time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DC - Seismology, volcanology and Earth structure

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Studia Geophysica et Geodaetica

ISSN

0039-3169

e-ISSN

—

Volume of the periodical

60

Issue of the periodical within the volume

3

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

20

Pages from-to

451-470

UT code for WoS article

000382365100006

EID of the result in the Scopus database

2-s2.0-84978880021